Bernstein inequality under averaging of elliptic systems in periodic random media

We construct the exponential Bernstein inequality for normed fluctuations of a solution of the Dirichlet problem with rapidly oscillating periodic random coefficients with respect to a solution of the averaged Dirichlet problem.

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Bibliographic Details
Date:1996
Main Authors: Bondarev, B. V., Korolev, M. E., Бондарев, Б. В., Королев, М. Е.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5186
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal